Prime p₀= 2356698025245913211 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 158
Found by: Landjunge
db: batch=81, k=10, 2 34 2 40 2

SPT(16)	2356696427724873151	0 10 12 36 40 46 88 100 108 120 162 168 172 196 198 208	-1597521040060
SPT(16)	2356696466774184133	0 48 60 88 118 130 166 180 316 330 366 378 408 436 448 496	-1558471729078
STPT(12)	2356696929004271801	0 2 6 8 48 50 78 80 120 122 126 128	-1096241641410
SPT(16)	2356696954455194161	0 12 46 72 76 88 96 118 180 202 210 222 226 252 286 298	-1070790719050
TPT(14)	2356697515809235607	0 2 114 116 192 194 240 242 282 284 402 404 462 464	-509436677604
SPT(16)	2356697738179534693	0 16 66 100 118 130 180 196 198 214 264 276 294 328 378 394	-287066378518
SPT(16)	2356698083273903843	0 14 18 48 60 146 168 200 234 266 288 374 386 416 420 434	58027990632
STPT(10)	2356698349091400071	0 2 6 8 18 20 30 32 36 38	323845486860
SPT(16)	2356698475672274509	0 52 54 100 112 124 130 168 184 222 228 240 252 298 300 352	450426361298
STPT(10)	2356698573321080531	0 2 6 8 48 50 90 92 96 98	548075167320
STPT(10)	2356698645578433521	0 2 30 32 78 80 126 128 156 158	620332520310